Find g(f(x)), given f(x)=3x2−x+1,g(x)=2x

Answers

Answer 1

Answer:

6x²-2x+2

Step-by-step explanation:

For g(f(x)), we have to first do f(x), and then substitute it into the "x" in g(x)

So, f(x) = 3x²-x+1

We need to substitute the "x" in g(x) with this entire thing

So, g(x) = 2x

When we substitute f(x) into it, it instead becomes 2(3x²-x+1)

Next, we have to expand the brackets, and doing so gives us the following:

6x²-2x+2

So that becomes our final answer!

Let me know if it makes sense! :)


Related Questions

Which of the following lists of side lengths represents a right triangle?

A. 7, 24, 25

B. 3, 6, 9

C. 5, 12, 14

D. 15, 16, 17

Answers

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The side lengths of Triangle representing a right angled Triangle is :

[tex]7,24,25[/tex]

because , Pythagoras theorem is true for given Side lengths,

that is :

[tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]

Answer:

7,24,25

Step-by-step explanation:

Use Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]

[tex]\\ \sf\longmapsto 625=576+49[/tex]

[tex]\\ \sf\longmapsto 625=625[/tex]

[tex]\\ \sf\longmapsto verified[/tex]

Your sister’s store is given a $200 loan to start off and makes $40 every week afterward. Find the minimum number of weeks it will take your sister to have a total profit of $100 after she has repaid the $200. Round your answer to the nearest whole week.

Answers

It will take 8 weeks for her to make 100$

Can you help me find the missing sides and calculate the perimeter?

Answers

The bottom side is 1m and the side on the right is 2m because looking at the other sides all of the sides should be 10.

Step-by-step explanation:

What is the mode?
-2 -6 -7 -4 -7 -6 -6 -2

Answers

Answer:

-6

Step-by-step explanation:

Mode in math means the number that is the most frequent number found in a data set, and in this data set shown, -6 comes the most frequently.

Answer:

-6

Step-by-step explanation:

Juan graphed a line with a slope of −23 .

How does Juan count the slope from any point on the graph?


From any point on the graph, he counts down 2 then right 3 to end up on the line again.

From any point on the graph, he counts up 2 then right 3 to end up on the line again.

From any point on the graph, he counts down 2 then left 3 to end up on the line again.

Answers

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

Mistake in the question; The slope of the line is -2/3.

To count the slope of the graph from any point on the graph; He counts down 2 then right 3 to end up on the line again.

The slope of a linear graph refers to the change behaviour of its dependent variable (usually y-axis) with respect to its Independent variable (usually x-axis).

In essence;

slope, m = (y2-y1)/(x2-x1)

Consequently, From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Read more:

https://brainly.com/question/23935638

I need the image below answered:

Answers

Answer:

first 3 options

Step-by-step explanation:

the first 3 options are the ans

2 points
COMPLETE THE TABLE: You are taking a test in math and you spend 5
minutes for every 2 questions you answer on the test. What value belongs
in box B?
# Questions
0
2
3
4
Time (minutes)
А
B
С
D
E

Answers

A - 0 would be 0mins B - 1 would be 2.5mins C - 2 would be 5mins D - 3 would be 7.5mins E - 4 would be 10mins

Step-by-step explanation:

every 2 questions equals 5 minutes. so 0 questions would obv be 0 mins 1 question would be half of 5 mins which would be 2.5 and so on

What is the surafce area of a cube with an edge length of 8 inches...QUICKKKK

Answers

Answer:

A=384in²

Step-by-step explanation:

A=6a2=6·82=384in²

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

The median is 6 the mode is 6 and the range is 7

Explanation : the median is 6 because this is the very middle number
The mode is 6 because it is the number that occurs most
And the range is 7 because the largest number is 8 and the smallest is 1 , and 8-1= 7

-3(5n-8)=-8(n-3)

Please Hurry

Answers

Answer:

[tex] - 3(5n - 8) = - 8(n - 3)[/tex]

[tex] - 15n + 24 = -8 n + 24[/tex]

[tex] - 15n + 8n = 24 - 24[/tex]

[tex] - 7n = 0[/tex]

[tex]n = \frac{0}{ - 7} [/tex]

[tex]n = 0[/tex]

Kerri sold her purse for $351. She had originally purchased it for $316. Calculate her profit or loss percentage.

Answers

Answer:

she profited $35

Step-by-step explanation:

Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)

Answers

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

[tex]100\times 100\times20[/tex]

Answers

Answer:

100 × 100 × 20 = 200,000

Step-by-step explanation:

here pls brainliest

Select the choice that translates the following verbal phrase correctly to algebra:

the product of k and m

km
k + m
k − m
k ÷ m

Answers

Answer:

km that is k×m means k is multiplied by m

£800 to the ratio of 9.13.18

Answers

Your answer is 180,260,360

NEED HELP ASAP!!
find the measure of the angle.

Answers

Answer:

35 degree

bsjjskskshsbbsvdvxhusow

(3a ^2 + 1) - ( 4+2a^2)

Answers

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

. A straight line passes through the point (-1,2) and its distance from the origin is
one unit. Find its equation.

Answers

Answer:

y = -1/2x + 3/2

Step-by-step explanation:

(2-0)/(-1-0) = -1/2

2 = -1/2(-1) + b

2 = 1/2 + b

b = 3/2

Answer: y = -1

Step-by-step explanation:

Assuming "distance from the origin is one unit" means distance on the x axis, a vertical straight line having an x-intercept of -1 would satisfy thede requirements.  y = -1 isn't much of an equation, but it goes through (-1,2) and is 1 unit (-1) from the origin.

6 1/2 1/10 pls help it so hard

Answers

Answer:

1/2 x 1/10 = 2/100

1/2 + 1/10 =  6/10

1/2 - 1/10 =  4/10

1/2 divided by 1/10 = 5

Step-by-step explanation:

The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?
What is the slope of the line that passes through the points (26, 7) and (-39, 12)

Answers

Answer:

It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...

Step-by-step explanation:

Help with this question please

Answers

Answer:10

Step-by-step explanation:

Which is the better buy?

A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?

Please show ALL of your work.

hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.

Answers

Answer: The first box (the 450 g box for $4.69)

===========================================================

Explanation:

To get the unit cost, we'll divide each price by the weight

The first box has a unit cost of (4.69)/450 = 0.010422 approximately which rounds to 0.01; so this unit cost is approximately $0.01 per gram or 1 cent per gram.

For the second box, its unit cost is (6.49)/600 = 0.0108167 approximately. When we round to the nearest cent, we get the same unit cost as before. Without rounding, we see that the first box has a slightly lower unit cost. Therefore box 1 is the better buy.

What is the value of T in this exterior angle

Answers

Answer:

t =30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

t + (2t-28) = t+32

Combine like terms

3t -28 = t+32

Subtract t from each side

3t -28-t = t+32-t

2t -28 = 32

Add 28 to each side

2t-28+28 = 32+28

2t = 60

Divide by 2

2t/2 = 60/2

t =30

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Exterior Angle of a triangle is equal to the sum of two opposite interior angles of the same triangle, so

[tex]t + 32 = t + 2t - 28[/tex]

[tex]t + 32 = 3t - 28[/tex]

[tex]3t - t = 32 + 28[/tex]

[tex]2t = 60[/tex]

[tex]t = 30 \degree[/tex]

value of t = 30°

Calculate the area of the following shape

Answers

Answer:   PLEASE DONT REPORT ME!

Step-by-step explanation:

Graph the image of the given under a dilation with a scale factor of 3 and center of dilation (0, 0)

To use the Polygon tool plot each vertex of the polygon To close the polygonselect the first point as your last point

Answers

I think this is right, I took the points and multiplied the coordinates by 3. Hope this helps

Omar invited 96 peoples to an engagement party.
Only 60 of the people invited came to the party?
Express 60 as a percentage of 96.
Help me plz

Answers

Answer:

62.5%

Step-by-step explanation:

Which of the following is an example of a quadratic equation?
O A. x^2 = 25
O B. y =1/x2
O C. y = 3x +2
O D. X-4 = 7

Answers

Answer:

A.

Step-by-step explanation:

Because it is a polynomial with highest degree of x = 2.

answer po pls pls plsss

Answers

Answer:

28

Step-by-step explanation:

- 14 x - 2 = 28

28 is the answer.

Answer:

28 cause -14 * -2 = 28

Step-by-step explanation:

I don't mean 2 sound rude but try to do this simple stuff on your own it will help u in the future

Solve for the value of r.

Answers

Answer:

[tex]r = 9[/tex]

Step-by-step explanation:

[tex](6r + 4) = (7r - 5) \\ 7r - 6r = 4 + 5 \\ r = 9[/tex]

Linda deposits $4,000 in an account that pays 3% interest that compounds monthly. What is her balance after 2 months?
Show all of your work.

Answers

Answer:

$4,243.6

Step-by-step explanation:

4,000 * 0.03 = 120

add it to the money 4,120

another month

4,120 *0.03 = 123.6

add it $4,243.6

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